All categories

3 years ago

Find the value of x, rounded to the nearest tenth.

Mathematics

1 answer:

german3 years ago

7 0

Answer:

25.8

Step-by-step explanation:

We use the segment of secants theorem to find x. The theorem states that the product of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its external segment. That means (a+b)b=(c+d)d. Then we simply plug in the numbers: (x+5)5=(15+7)7. Then solve for x by simplifying (x+5)5= 154, divide by 5 on both sides, x+5= 30.8, and subtract 5 from both sides, x= 25.8.

You might be interested in

The base of a triangle is shrinking at a rate of 11 cm/s and the height of the triangle is increasing at a rate of 11 cm/s. Find

Mumz [18]

Answer:

the rate of changes of the area of the triangle

$\frac{dA}{dt} = -11 cm^2 /sec$

Step-by-step explanation:

<u>Explanation</u> :-

The area of triangle( A) = $\frac{1}{2} base X height$ ..........(1)

Let 'b' be the base and 'l' be the length of the triangle

The base of a triangle is shrinking( means decreasing) at a rate of 11 cm/s

that is $\frac{db}{dt} = -11cm/sec$

The height of a triangle is increasing at a rate of 11 cm/s

that is $\frac{dh}{dt} = 11cm/sec$

Given h= 10cm and b = 8cm

<u>The rate of change of triangle </u>

applying uv formula $\frac{d(uv)}{dx} = u( \frac{dv}{dx}) + v(\frac{du}{dx} )$

Differentiating equation (1) with respective to 't'

$\frac{dA}{dt} =\frac{1}{2} ( b(\frac{dh}{dt} )+h ( \frac{db}{dt}))$

substitute all values in above equation, we get

h= 10cm , b = 8cm , $\frac{db}{dt} = -11cm/sec$ and $\frac{dh}{dt} = 11cm/sec$

$\frac{dA}{dt} = 10 (-11) + 8(11 )$

After simplification , we get

$\frac{dA}{dt} =\frac{1}{2} (-110 +88) = -11 cm^2 /sec$

7 0

4 years ago

Read 2 more answers

Determine the 6th tern for the sequence: 4, 0.4

I am Lyosha [343]

I am not sure what this answer is

8 0

3 years ago

Which statement is true about the points (-4,6) and (4,-6) is true

White raven [17]

Answer:

Step-by-step explanation:

I graphed it. They are both not in the same qudrant because both their x and y values are opposites. This led me to believe that they were in quadrants digaonal of each other, meaning the answer was D, because if you flipped the point across the x or y axis and then flipped it again across the other axis, it would be that point. Just in case, I graphed it. Please tell me if I'm wrong :)

8 0

3 years ago

Read 2 more answers

PLS HELP I WILL REALLY APPRECIATE PLS I WILL MARK YOU THE BRAINLY !

otez555 [7]

Answer:

try with this link https://es.symbolab.com/solver/square-roots-calculator

Step-by-step explanation:

3 0

3 years ago

Which point is on the graph of f(x) = 2 • 5x?

Inessa [10]